| 具材料阻尼的非线性双曲型方程整体解的不存在性 |
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| 引用本文： | 宋长明. 具材料阻尼的非线性双曲型方程整体解的不存在性[J]. 应用数学和力学, 2006, 27(7): 852-858 |
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| 作者姓名： | 宋长明 |
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| 作者单位： | 上海交通大学 数学系,上海 200240;2.中原工学院 数学系, 郑州 450007 |
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| 基金项目： | 中国科学院资助项目;河南省自然科学基金 |
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| 摘 要： | 考虑了一类具材料阻尼的非线性双曲型方程初边值问题整体解的不存在性．分别采用能量方法、Jensen不等式和凹性方法证明了该问题整体解的不存在性定理．作为主要结果的应用，给出了3个例子．
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| 关 键 词： | 整体解的不存在性 初边值问题 双曲型方程 材料阻尼 |
| 文章编号： | 1000-0887（2006）07-0852-07 |
| 收稿时间： | 2004-06-30 |
| 修稿时间： | 2006-03-07 |
Nonexistence of Global Solutions of a Nonlinear Hyperbolic Equation With Material Damping |
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| SONG Chang-ming. Nonexistence of Global Solutions of a Nonlinear Hyperbolic Equation With Material Damping[J]. Applied Mathematics and Mechanics, 2006, 27(7): 852-858 |
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| Authors: | SONG Chang-ming |
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| Affiliation: | Department of Mathematics, Shanghai Jiaotong University, Shanghai, 200240, P. R. China; |
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| Abstract: | Concerns with the nonexistence of global solutions to the initial boundary value problem for a nonlinear hyperbolic equation with material damping. Nonexistence theorems of global solutions to the above problem are proved by the energy method, Jensen inequality and the concavity method, respectively. As applications of our main results, three examples are given. |
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| Keywords: | nonexistence of global solution initial boundary value problem nonlinear hyperbolic equation material damping |
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